Home
Class 12
MATHS
Let S and S\' be the foci of the ellipse...

Let `S and S\'` be the foci of the ellipse `x^2/9 + y^2/4 = 1 and P and Q` be points on the ellipse such that `PS.PS\'` is maximum and `QS.QS`\' is maximum. Statement 1 : `PQ=4`. Statement 2 : If `P` is a point on an ellipse and `S\' and S` are its foci, then `PS + PS\'` is constant.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 are

The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 are

If Sa n dS ' are two foci of ellipse 16 x^2+25 y^2=400 and P S Q is a focal chord such that S P=16 , then find S^(prime)Qdot

If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose foci are S and S' then the value of PS + PS' is

The distance from the foci of P (x_(1), y_(1)) on the ellipse x^2/9+y^2/25=1 are

The line x+2y=1 cuts the ellipse x^(2)+4y^(2)=1 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find point C.

If P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 , S and S ’ are the foci of the ellipse then find SP + S^1P

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is

if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ( altb ) and P(x_(1) , y_(1)) a point on it then SP+ S'P is equal to